Metadata
Mathematics Undergraduate Analyze Medium
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Metadata

  • Subject

    Mathematics

  • Education level

    Undergraduate

  • Cognitive goals

    Analyze

  • Difficulty estimate

    Medium

  • Tags

    dynamical systems, Jacobian linearization, phase plane, equilibrium stability, nonlinear systems

  • Number of questions

    5

  • Created on

  • Generation source

  • License

    CC0 Public domain

  • Prompt

    Test students' ability to analyze and classify equilibrium points of two-dimensional autonomous nonlinear systems using Jacobian linearization and phase-plane methods. Assess computing the Jacobian and its eigenvalues, determining equilibrium type (node, saddle, focus, center), applying Hartman–Grobman and handling nonhyperbolic cases, sketching nullclines and local phase portraits, and concluding stability/instability.
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Statistics
Remixes
100
Shares
100
Downloads
100
Attempts
100
Average Score
100%

Mock data used for demo purposes.